The Source of $\Gamma$-Primeness on $\Gamma$-Rings

Year 2024, Volume: 12 Issue: 1, 36 - 42, 28.01.2024

Didem Yeşil Rasie Mekera

https://doi.org/10.36753/mathenot.1389757

Abstract

The source of the primeness texture is a skeleton that generalizes traditional prime rings. In this context, our primary aim in this study is to describe the source of $\Gamma$-primeness in $\Gamma$-rings not included in the literature.
This work's purpose is to generalize the concept of the source of primeness to a $\Gamma$-ring. In this study, the characteristics provided by the defined concept are also discussed, and the results achieved are exemplified.

Keywords

Prime $\Gamma$-ideal, Source of $\Gamma$-primeness, $\Gamma$-ring

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